Question

find ramaining portion ​
i mark brainliest

Answer 1

⇒ Area of remaining portion

= Area of square

= Area of middle circle – Area of 4 quadrants

⇒ For square ABCD

Area of square = (side)²

‌‌‌‌‌ = (4)²

‌‌‌‌‌ = 4 × 4

‌‌‌‌‌ = 16

⇒ For middle circle

Diameter = 2 cm

Hence, radius = r = $\frac{Diameter}{2}$ = $\frac{2}{2}$ = 1 cm

Area of middle circle = πr²

‌‌‌‌‌ ‌‌‌‌‌ ‌‌‌‌‌ = $\frac{22}{7}$ × 1 × 1

⇒ For quadrant

radius = r = 1 cm

Area of 1 quadrant = $\frac{1}{4}$ of (area of circle)

‌‌‌‌‌ ‌‌‌‌‌ ‌‌‌‌‌ = $\frac{1}{4}$ × πr²

‌‌‌‌‌ ‌‌‌‌‌ ‌‌‌‌‌ = $\frac{1}{4}$ × $\frac{22}{7}$ × 1²

‌‌‌‌‌ ‌‌‌‌‌ ‌‌‌‌‌ = $\frac{22}{8}$ × πr²

⇒ For middle circle

Diameter = 2 cm

Hence, radius = r = $\frac{Diameter}{2}$ = $\frac{2}{2}$ = 1 cm

Area of middle circle = πr²

‌‌‌‌‌ ‌‌‌‌‌ ‌‌‌‌‌ = $\frac{22}{7}$ × 1 × 1

⇒ For quadrant

radius = r = 1 cm

Area of 1 quadrant = $\frac{1}{4}$ of (area of circle)

‌‌‌‌‌ ‌‌‌‌‌ ‌‌‌‌‌ = $\frac{1}{4}$ × πr²

‌‌‌‌‌ ‌‌‌‌‌ ‌‌‌‌‌ = $\frac{1}{4}$ × $\frac{22}{7}$ × 1²

‌‌‌‌‌ ‌‌‌‌‌ ‌‌‌‌‌ = $\frac{22}{28}$

‌‌‌‌‌ ‌‌‌‌‌ ‌‌‌‌‌ = $\frac{68}{7}$ cm²

Hence, area of remaining portion = $\frac{68}{7}$ cm²